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Finding the Fourth Proportional to 307.00, 460.67 and 220.24

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Solution

The fourth proportional to 307.00, 460.67 and 220.24 is: 330.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.00 : 460.67 = 220.24 : x
  2. Step 2: Convert to fraction form
    307.00/460.67 = 220.24/x
  3. Step 3: Cross multiply
    307.00x = 460.67 × 220.24
  4. Step 4: Simplify right side
    307.00x = 101,456.21
  5. Step 5: Solve for x
    x = 101,456.21/307.00
  6. Step 6: Final answer
    x = 330.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.